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90460032 = 2731318121
BaseRepresentation
bin1010110010001…
…00111110000000
320022012211211120
411121010332000
5141124210112
612550512240
72145616605
oct531047600
9208184746
1090460032
1147075a63
1226365680
1315983460
14c02a6ac
157e1ce8c
hex5644f80

90460032 has 64 divisors (see below), whose sum is σ = 258782160. Its totient is φ = 27832320.

The previous prime is 90459973. The next prime is 90460033. The reversal of 90460032 is 23006409.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 90459984 and 90460011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90460033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4069 + ... + 14052.

Almost surely, 290460032 is an apocalyptic number.

It is an amenable number.

90460032 is an abundant number, since it is smaller than the sum of its proper divisors (168322128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90460032 is a wasteful number, since it uses less digits than its factorization.

90460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18151 (or 18139 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 90460032 is about 9511.0478917940. The cubic root of 90460032 is about 448.9027290805.

The spelling of 90460032 in words is "ninety million, four hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 18121 36242 54363 72484 108726 144968 217452 235573 289936 434904 471146 579872 706719 869808 942292 1159744 1413438 1739616 1884584 2319488 2826876 3479232 3769168 5653752 6958464 7538336 11307504 15076672 22615008 30153344 45230016 90460032